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Last updated: Mon Dec 1 2008

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Applied Mathematics > Complex Systems > Fractals >
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Peano Curve
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PeanoCurve

A fractal curve which can be written as a Lindenmayer system.

SEE ALSO: Dragon Curve, Hilbert Curve, Lindenmayer System, Sierpiński Curve

REFERENCES:

Dickau, R. M. "Two-Dimensional L-Systems." http://mathforum.org/advanced/robertd/lsys2d.html.

Hilbert, D. "Über die stetige Abbildung einer Linie auf ein Flachenstück." Math. Ann. 38, 459-460, 1891.

Mandelbrot, B. B. The Fractal Geometry of Nature. New York: W. H. Freeman, pp. 62-63, 1983.

Peano, G. "Sur une courbe, qui remplit une aire plane." Math. Ann. 36, 157-160, 1890.

Wagon, S. Mathematica in Action. New York: W. H. Freeman, p. 207, 1991.




CITE THIS AS:

Weisstein, Eric W. "Peano Curve." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/PeanoCurve.html

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